Question

use the image to answer the question.
if ( \triangle lafcong\triangle now ), find the length of ( overline{lf} ).
(1 point)
12
7
3
5

Explanation:

Step1: Use the property of congruent triangles

Since \(\triangle LAF\cong\triangle NOW\), their corresponding sides are equal. So, \(LF = NW\). That is \(4x=2x + 6\).

Step2: Solve the equation for \(x\)

Subtract \(2x\) from both sides of the equation \(4x=2x + 6\).
\(4x-2x=2x + 6-2x\)
\(2x=6\)
Divide both sides by \(2\): \(x = 3\).

Step3: Find the length of \(LF\)

Substitute \(x = 3\) into the expression for \(LF\) (which is \(4x\)).
\(LF=4x\), when \(x = 3\), \(LF=4\times3=12\).

Answer:

12